Low kernal temp vs stock kernal temp

I think you are referring to low voltage vs standard voltage kernels. Low voltage ones use less power which can give you lower temps for both your processor and battery. That can also extend your battery life. Some phones can't handle low voltage kernels though so they have to use standard ones.

On a side note, please use the search bar to make sure there isn't a thread like the one your going to create. This topic has been discussed multiple times.